223223416416 has 1152 divisors, whose sum is σ = 909824348160. Its totient is φ = 49990348800.

The previous prime is 223223416373. The next prime is 223223416447. The reversal of 223223416416 is 614614322322.

223223416416 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 2 + 3 + 4 + 1 + 641 + 6 = 666.

It is a super-3 number, since 3×223223416416³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 454629931 + ... + 454630421.

It is an arithmetic number, because the mean of its divisors is an integer number (789778080).

Almost surely, 2^223223416416 is an apocalyptic number.

223223416416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223223416416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454912174080).

223223416416 is an abundant number, since it is smaller than the sum of its proper divisors (686600931744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223223416416 is a wasteful number, since it uses less digits than its factorization.

223223416416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 629 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 223223416416 its reverse (614614322322), we get a palindrome (837837738738).

The spelling of 223223416416 in words is "two hundred twenty-three billion, two hundred twenty-three million, four hundred sixteen thousand, four hundred sixteen".